Concepedia

One-dimensional Continuity Equation

The One-Dimensional Continuity Equation is a mathematical statement of the principle of conservation of mass in fluid dynamics, restricted to flow in a single spatial direction, expressing that the rate of change of fluid density within a control volume is balanced by the net flux of mass through its boundaries.

48

Publications

2.8K

Citations

91

Authors

53

Institutions

Publications per year

2017–2026

4

Parents

Publications

48

On some control problems in fluid mechanics

Frédéric Abergel, Roger Témam · Theoretical and Computational Fluid Dynamics · 1990 · 435 citations

, , +14

Some contributions to the modelling of discontinuous flows

Philip L. Roe · 1985 · 283 citations

, , +12

Introduction to the Mechanics of a Continuous Medium

L. I. Sedov, P. G. Hodge · Journal of Applied Mechanics · 1966 · 249 citations · Full text

, , +10

A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions

Aronne Armanini, Giampaolo Di Silvio · Journal of Hydraulic Research · 1988 · 201 citations

, , +16

Aerial plane waves of finite amplitude

John William Strutt · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1910 · 165 citations · Full text

, , +8

1–5 of 48

Authors

91

  1. BC
    Benkang Chang

    Nanjing University of Science and Technology, China

    3 publications · 75 citations

    3

    h-index

  2. RK
    Roman Kozlov

    Norwegian School of Economics, Norway

    2 publications · 31 citations

    2

    h-index

  3. SV
    Sergey V. Meleshko

    Suranaree University of Technology, Thailand

    2 publications · 31 citations

    2

    h-index

  4. JZ
    Ji‐Jun Zou

    Tianjin University, China

    2 publications · 62 citations

    2

    h-index

  5. JW
    John William Strutt

    Google (United States), United States

    1 publications · 165 citations

    1

    h-index

1–5 of 91

Institutions

53

  1. Nanjing University of Science and Technology

    Nanjing, China

    3 h-index

    13 publications

    313 citations

  2. Scuola Normale Superiore

    Pisa, Italy

    2 h-index

    3 publications

    126 citations

  3. Suranaree University of Technology

    Nakhon Ratchasima, Thailand

    2 h-index

    3 publications

    42 citations

  4. University of Oslo

    Oslo, Norway

    2 h-index

    2 publications

    209 citations

  5. Norwegian School of Economics

    Bergen, Norway

    2 h-index

    2 publications

    31 citations

  6. Université Paris-Sud

    Orsay, France

    1 h-index

    2 publications

    870 citations

  7. Delft University of Technology

    Delft, The Netherlands

    1 h-index

    2 publications

    40 citations

  8. Tianjin University of Finance and Economics

    Tianjin, China

    1 h-index

    1 publications

    16 citations

1–8 of 53

Venues

  1. IEEE Transactions on Electron Devices

    2 publications · 30 citations

    2

    h-index

  2. SIAM Journal on Mathematical Analysis

    2 publications · 95 citations

    2

    h-index

  3. SIAM Journal on Numerical Analysis

    2 publications · 41 citations

    2

    h-index

  4. International Journal of Non-Linear Mechanics

    2 publications · 31 citations

    2

    h-index

  5. Journal of Hydraulic Research

    2 publications · 226 citations

    2

    h-index

1–5